82953906 has 64 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 22746240.

The previous prime is 82953901. The next prime is 82953907. The reversal of 82953906 is 60935928.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82953901) 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, 115015 + ... + 115733.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^82953906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82953906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

82953906 is an abundant number, since it is smaller than the sum of its proper divisors (114452814).

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

82953906 is a wasteful number, since it uses less digits than its factorization.

82953906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 82953906 is about 9107.9034909248. The cubic root of 82953906 is about 436.1263030822.

The spelling of 82953906 in words is "eighty-two million, nine hundred fifty-three thousand, nine hundred six".