83121038 has 32 divisors (see below), whose sum is σ = 167408640. Its totient is φ = 29892960.

The previous prime is 83121037. The next prime is 83121061. The reversal of 83121038 is 83012138.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 83120998 and 83121016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83121037) 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, 18758 + ... + 22761.

It is an arithmetic number, because the mean of its divisors is an integer number (5231520).

Almost surely, 2^83121038 is an apocalyptic number.

83121038 is an abundant number, since it is smaller than the sum of its proper divisors (84287602).

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

83121038 is a wasteful number, since it uses less digits than its factorization.

83121038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41552.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 83121038 is about 9117.0739823696. The cubic root of 83121038 is about 436.4190028364.

Subtracting from 83121038 its reverse (83012138), we obtain a square (108900 = 330²).

It can be divided in two parts, 83 and 121038, that added together give a palindrome (121121).

The spelling of 83121038 in words is "eighty-three million, one hundred twenty-one thousand, thirty-eight".