83145672 has 48 divisors (see below), whose sum is σ = 237042000. Its totient is φ = 26256096.

The previous prime is 83145649. The next prime is 83145677. The reversal of 83145672 is 27654138.

83145672 is a `hidden beast` number, since 83 + 14 + 567 + 2 = 666.

It is a super-3 number, since 3×83145672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83145677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29022 + ... + 31757.

It is an arithmetic number, because the mean of its divisors is an integer number (4938375).

Almost surely, 2^83145672 is an apocalyptic number.

It is an amenable number.

83145672 is an abundant number, since it is smaller than the sum of its proper divisors (153896328).

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

83145672 is a wasteful number, since it uses less digits than its factorization.

83145672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60810 (or 60803 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 83145672 is about 9118.4248639773. The cubic root of 83145672 is about 436.4621113927.

The spelling of 83145672 in words is "eighty-three million, one hundred forty-five thousand, six hundred seventy-two".