337980825 has 144 divisors (see below), whose sum is σ = 789699456. Its totient is φ = 134092800.

The previous prime is 337980751. The next prime is 337980833. The reversal of 337980825 is 528089733.

It is not a de Polignac number, because 337980825 - 2¹¹ = 337978777 is a prime.

It is a super-2 number, since 2×337980825² = 228462076135361250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 347590 + ... + 348560.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^337980825 is an apocalyptic number.

337980825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

337980825 is an abundant number, since it is smaller than the sum of its proper divisors (451718631).

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

337980825 is a wasteful number, since it uses less digits than its factorization.

337980825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 337980825 is about 18384.2548122028. The cubic root of 337980825 is about 696.5688039954.

The spelling of 337980825 in words is "three hundred thirty-seven million, nine hundred eighty thousand, eight hundred twenty-five".