83400975 has 96 divisors (see below), whose sum is σ = 184512000. Its totient is φ = 36080640.

The previous prime is 83400971. The next prime is 83401001. The reversal of 83400975 is 57900438.

It is not a de Polignac number, because 83400975 - 2² = 83400971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83400971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89311 + ... + 90239.

It is an arithmetic number, because the mean of its divisors is an integer number (1922000).

Almost surely, 2^83400975 is an apocalyptic number.

83400975 is an abundant number, since it is smaller than the sum of its proper divisors (101111025).

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

83400975 is a wasteful number, since it uses less digits than its factorization.

83400975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 83400975 is about 9132.4134269097. The cubic root of 83400975 is about 436.9083812840.

The spelling of 83400975 in words is "eighty-three million, four hundred thousand, nine hundred seventy-five".