83400031 has 16 divisors (see below), whose sum is σ = 99096480. Its totient is φ = 69189120.

The previous prime is 83400017. The next prime is 83400041. The reversal of 83400031 is 13000438.

It is not a de Polignac number, because 83400031 - 2⁵ = 83399999 is a prime.

It is a super-2 number, since 2×83400031² = 13911130341601922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83399981 and 83400008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83400041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9451 + ... + 16003.

It is an arithmetic number, because the mean of its divisors is an integer number (6193530).

Almost surely, 2^83400031 is an apocalyptic number.

83400031 is a deficient number, since it is larger than the sum of its proper divisors (15696449).

83400031 is a wasteful number, since it uses less digits than its factorization.

83400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 83400031 is about 9132.3617427257. The cubic root of 83400031 is about 436.9067328497.

Adding to 83400031 its reverse (13000438), we get a palindrome (96400469).

The spelling of 83400031 in words is "eighty-three million, four hundred thousand, thirty-one".