82101672 has 48 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 27300768.

The previous prime is 82101661. The next prime is 82101683. The reversal of 82101672 is 27610128.

It is an interprime number because it is at equal distance from previous prime (82101661) and next prime (82101683).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35083 + ... + 37349.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^82101672 is an apocalyptic number.

It is an amenable number.

82101672 is an abundant number, since it is smaller than the sum of its proper divisors (140797368).

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

82101672 is a wasteful number, since it uses less digits than its factorization.

82101672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 82101672 is about 9060.9972961038. The cubic root of 82101672 is about 434.6276321896.

The spelling of 82101672 in words is "eighty-two million, one hundred one thousand, six hundred seventy-two".