83392 has 14 divisors (see below), whose sum is σ = 165608. Its totient is φ = 41664.

The previous prime is 83389. The next prime is 83399. The reversal of 83392 is 29338.

It is a happy number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 588 + ... + 715.

2⁸³³⁹² is an apocalyptic number.

It is an amenable number.

83392 is a deficient number, since it is larger than the sum of its proper divisors (82216).

83392 is a wasteful number, since it uses less digits than its factorization.

83392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1305 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 83392 is about 288.7767303645. The cubic root of 83392 is about 43.6892708432.

It can be divided in two parts, 833 and 92, that multiplied together give a triangular number (76636 = T₃₉₁).

The spelling of 83392 in words is "eighty-three thousand, three hundred ninety-two".