13957038 has 48 divisors (see below), whose sum is σ = 31314816. Its totient is φ = 4490640.

The previous prime is 13957007. The next prime is 13957049. The reversal of 13957038 is 83075931.

It is a super-3 number, since 3×13957038³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13956993 and 13957011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85545 + ... + 85707.

It is an arithmetic number, because the mean of its divisors is an integer number (652392).

Almost surely, 2^13957038 is an apocalyptic number.

13957038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13957038 is an abundant number, since it is smaller than the sum of its proper divisors (17357778).

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

13957038 is a wasteful number, since it uses less digits than its factorization.

13957038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13957038 is about 3735.9119368636. The cubic root of 13957038 is about 240.7674392054.

The spelling of 13957038 in words is "thirteen million, nine hundred fifty-seven thousand, thirty-eight".