82143972 has 18 divisors (see below), whose sum is σ = 207641798. Its totient is φ = 27381312.

The previous prime is 82143953. The next prime is 82143991. The reversal of 82143972 is 27934128.

It is an interprime number because it is at equal distance from previous prime (82143953) and next prime (82143991).

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 38266596 = 6624^2 + 6186^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2281777 = 82143972 / (8 + 2 + 1 + 4 + 3 + 9 + 7 + 2).

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, 1140853 + ... + 1140924.

Almost surely, 2^82143972 is an apocalyptic number.

It is an amenable number.

82143972 is an abundant number, since it is smaller than the sum of its proper divisors (125497826).

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

82143972 is a wasteful number, since it uses less digits than its factorization.

82143972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281787 (or 2281782 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 82143972 is about 9063.3311756771. The cubic root of 82143972 is about 434.7022615767.

The spelling of 82143972 in words is "eighty-two million, one hundred forty-three thousand, nine hundred seventy-two".