82435376 has 20 divisors (see below), whose sum is σ = 168125400. Its totient is φ = 39048192.

The previous prime is 82435361. The next prime is 82435391. The reversal of 82435376 is 67353428.

It is an interprime number because it is at equal distance from previous prime (82435361) and next prime (82435391).

It is a super-2 number, since 2×82435376² = 13591182432522752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135281 + ... + 135888.

It is an arithmetic number, because the mean of its divisors is an integer number (8406270).

Almost surely, 2^82435376 is an apocalyptic number.

It is an amenable number.

82435376 is an abundant number, since it is smaller than the sum of its proper divisors (85690024).

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

82435376 is a wasteful number, since it uses less digits than its factorization.

82435376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271196 (or 271190 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 82435376 is about 9079.3929312482. The cubic root of 82435376 is about 435.2156872860.

The spelling of 82435376 in words is "eighty-two million, four hundred thirty-five thousand, three hundred seventy-six".