42038031 has 48 divisors (see below), whose sum is σ = 68618880. Its totient is φ = 22800960.

The previous prime is 42038021. The next prime is 42038041. The reversal of 42038031 is 13083024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42038021) and next prime (42038041).

It is not a de Polignac number, because 42038031 - 2¹⁸ = 41775887 is a prime.

It is a super-2 number, since 2×42038031² = 3534392100713922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42037989 and 42038007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42038021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320836 + ... + 320966.

It is an arithmetic number, because the mean of its divisors is an integer number (1429560).

Almost surely, 2^42038031 is an apocalyptic number.

42038031 is a deficient number, since it is larger than the sum of its proper divisors (26580849).

42038031 is a wasteful number, since it uses less digits than its factorization.

42038031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42038031 is about 6483.6741898402. The cubic root of 42038031 is about 347.7075509077.

The spelling of 42038031 in words is "forty-two million, thirty-eight thousand, thirty-one".