83152 has 10 divisors (see below), whose sum is σ = 161138. Its totient is φ = 41568.

The previous prime is 83137. The next prime is 83177. The reversal of 83152 is 25138.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 13456 = 264^2 + 116^2 .

It is a congruent number.

It is an unprimeable number.

83152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2583 + ... + 2614.

2⁸³¹⁵² is an apocalyptic number.

It is an amenable number.

83152 is a deficient number, since it is larger than the sum of its proper divisors (77986).

83152 is a wasteful number, since it uses less digits than its factorization.

83152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5199 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 83152 is about 288.3608850035. The cubic root of 83152 is about 43.6473183776.

It can be divided in two parts, 8 and 3152, that added together give a triangular number (3160 = T₇₉).

The spelling of 83152 in words is "eighty-three thousand, one hundred fifty-two".