338957253 has 6 divisors (see below), whose sum is σ = 489604934. Its totient is φ = 225971496.

The previous prime is 338957231. The next prime is 338957263. The reversal of 338957253 is 352759833.

It can be written as a sum of positive squares in only one way, i.e., 333354564 + 5602689 = 18258^2 + 2367^2 .

It is not a de Polignac number, because 338957253 - 2¹⁴ = 338940869 is a prime.

It is a super-2 number, since 2×338957253² = 229784038722612018, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 338957199 and 338957208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338957263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18830950 + ... + 18830967.

Almost surely, 2^338957253 is an apocalyptic number.

It is an amenable number.

338957253 is a deficient number, since it is larger than the sum of its proper divisors (150647681).

338957253 is a wasteful number, since it uses less digits than its factorization.

338957253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37661923 (or 37661920 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 338957253 is about 18410.7917537514. The cubic root of 338957253 is about 697.2389557697.

The spelling of 338957253 in words is "three hundred thirty-eight million, nine hundred fifty-seven thousand, two hundred fifty-three".