82192401 has 10 divisors (see below), whose sum is σ = 122781362. Its totient is φ = 54794880.

The previous prime is 82192391. The next prime is 82192427. The reversal of 82192401 is 10429128.

It can be written as a sum of positive squares in only one way, i.e., 46908801 + 35283600 = 6849^2 + 5940^2 .

It is not a de Polignac number, because 82192401 - 2⁶ = 82192337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82192441) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 507280 + ... + 507441.

Almost surely, 2^82192401 is an apocalyptic number.

82192401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82192401 is a deficient number, since it is larger than the sum of its proper divisors (40588961).

82192401 is a wasteful number, since it uses less digits than its factorization.

82192401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014733 (or 1014724 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82192401 is about 9066.0024817998. The cubic root of 82192401 is about 434.7876728348.

The spelling of 82192401 in words is "eighty-two million, one hundred ninety-two thousand, four hundred one".