82672623 has 32 divisors (see below), whose sum is σ = 134265600. Its totient is φ = 49860000.

The previous prime is 82672571. The next prime is 82672637. The reversal of 82672623 is 32627628.

82672623 is a `hidden beast` number, since 8 + 26 + 7 + 2 + 623 = 666.

It is not a de Polignac number, because 82672623 - 2⁹ = 82672111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82672673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73993 + ... + 75101.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2^82672623 is an apocalyptic number.

82672623 is a deficient number, since it is larger than the sum of its proper divisors (51592977).

82672623 is a wasteful number, since it uses less digits than its factorization.

82672623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 82672623 is about 9092.4486800861. The cubic root of 82672623 is about 435.6328007690.

The spelling of 82672623 in words is "eighty-two million, six hundred seventy-two thousand, six hundred twenty-three".