82144935 has 96 divisors (see below), whose sum is σ = 161808192. Its totient is φ = 39813120.

The previous prime is 82144919. The next prime is 82144939. The reversal of 82144935 is 53944128.

82144935 = 145² + 146² + ... + 629².

It is not a de Polignac number, because 82144935 - 2⁴ = 82144919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82144935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82144939) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846807 + ... + 846903.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 2^82144935 is an apocalyptic number.

82144935 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82144935 is a deficient number, since it is larger than the sum of its proper divisors (79663257).

82144935 is a wasteful number, since it uses less digits than its factorization.

82144935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82144935 is about 9063.3843016833. The cubic root of 82144935 is about 434.7039602878.

The spelling of 82144935 in words is "eighty-two million, one hundred forty-four thousand, nine hundred thirty-five".