84972 has 24 divisors (see below), whose sum is σ = 203056. Its totient is φ = 27648.

The previous prime is 84967. The next prime is 84977. The reversal of 84972 is 27948.

It is an interprime number because it is at equal distance from previous prime (84967) and next prime (84977).

It is not an unprimeable number, because it can be changed into a prime (84977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828 + ... + 924.

2⁸⁴⁹⁷² is an apocalyptic number.

It is a pronic number, being equal to 291×292.

It is an amenable number.

84972 is an abundant number, since it is smaller than the sum of its proper divisors (118084).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101528).

84972 is a wasteful number, since it uses less digits than its factorization.

84972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 84972 is about 291.4995711832. The cubic root of 84972 is about 43.9634683000.

The spelling of 84972 in words is "eighty-four thousand, nine hundred seventy-two".