83392101 has 24 divisors (see below), whose sum is σ = 130105976. Its totient is φ = 51166080.

The previous prime is 83392097. The next prime is 83392129. The reversal of 83392101 is 10129338.

It can be written as a sum of positive squares in 4 ways, for example, as 4004001 + 79388100 = 2001^2 + 8910^2 .

It is not a de Polignac number, because 83392101 - 2² = 83392097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83392601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48411 + ... + 50103.

Almost surely, 2^83392101 is an apocalyptic number.

It is an amenable number.

83392101 is a deficient number, since it is larger than the sum of its proper divisors (46713875).

83392101 is a wasteful number, since it uses less digits than its factorization.

83392101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 83392101 is about 9131.9275621306. The cubic root of 83392101 is about 436.8928848125.

It can be divided in two parts, 8339 and 2101, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 83392101 in words is "eighty-three million, three hundred ninety-two thousand, one hundred one".