213372705 has 96 divisors (see below), whose sum is σ = 433448064. Its totient is φ = 88833024.

The previous prime is 213372697. The next prime is 213372707. The reversal of 213372705 is 507273312.

It is not a de Polignac number, because 213372705 - 2³ = 213372697 is a prime.

It is a super-2 number, since 2×213372705² = 91055822478034050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213372707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1308954 + ... + 1309116.

It is an arithmetic number, because the mean of its divisors is an integer number (4515084).

Almost surely, 2^213372705 is an apocalyptic number.

It is an amenable number.

213372705 is an abundant number, since it is smaller than the sum of its proper divisors (220075359).

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

213372705 is a wasteful number, since it uses less digits than its factorization.

213372705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 213372705 is about 14607.2826014971. The cubic root of 213372705 is about 597.5573890244.

It can be divided in two parts, 21337 and 2705, that added together give a palindrome (24042).

The spelling of 213372705 in words is "two hundred thirteen million, three hundred seventy-two thousand, seven hundred five".