337640625 has 105 divisors (see below), whose sum is σ = 711182303. Its totient is φ = 154350000.

The previous prime is 337640603. The next prime is 337640629. The reversal of 337640625 is 526046733.

The square root of 337640625 is 18375.

It is a perfect power (a square), and thus also a powerful number.

337640625 is a `hidden beast` number, since 3 + 3 + 7 + 640 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 295805601 + 41835024 = 17199^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (105).

It is not a de Polignac number, because 337640625 - 2⁵ = 337640593 is a prime.

It is a super-2 number, since 2×337640625² = 228002383300781250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 337640625.

It is not an unprimeable number, because it can be changed into a prime (337640629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 48234372 + ... + 48234378.

Almost surely, 2^337640625 is an apocalyptic number.

337640625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

337640625 is the 18375-th square number.

337640625 is the 9188-th centered octagonal number.

It is an amenable number.

337640625 is an abundant number, since it is smaller than the sum of its proper divisors (373541678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

337640625 is an frugal number, since it uses more digits than its factorization.

337640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The cubic root of 337640625 is about 696.3350113819.

Multiplying 337640625 by its sum of digits (36), we get a square (12155062500 = 110250²).

The spelling of 337640625 in words is "three hundred thirty-seven million, six hundred forty thousand, six hundred twenty-five".