82714401 has 108 divisors (see below), whose sum is σ = 163790640. Its totient is φ = 39755520.

The previous prime is 82714399. The next prime is 82714427. The reversal of 82714401 is 10441728.

It is not a de Polignac number, because 82714401 - 2¹ = 82714399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82714001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1401910 + ... + 1401968.

It is an arithmetic number, because the mean of its divisors is an integer number (1516580).

Almost surely, 2^82714401 is an apocalyptic number.

It is an amenable number.

82714401 is a deficient number, since it is larger than the sum of its proper divisors (81076239).

82714401 is a wasteful number, since it uses less digits than its factorization.

82714401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82714401 is about 9094.7457908399. The cubic root of 82714401 is about 435.7061696854.

The spelling of 82714401 in words is "eighty-two million, seven hundred fourteen thousand, four hundred one".