88084 has 18 divisors (see below), whose sum is σ = 165354. Its totient is φ = 41040.

The previous prime is 88079. The next prime is 88093. The reversal of 88084 is 48088.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 36100 = 228^2 + 190^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1414 + ... + 1474.

2⁸⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

88084 is a deficient number, since it is larger than the sum of its proper divisors (77270).

88084 is a wasteful number, since it uses less digits than its factorization.

88084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 88084 is about 296.7894876845. The cubic root of 88084 is about 44.4937499112.

It can be divided in two parts, 880 and 84, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 88084 in words is "eighty-eight thousand, eighty-four".