82971905 has 16 divisors (see below), whose sum is σ = 102501504. Its totient is φ = 64437120.

The previous prime is 82971887. The next prime is 82971907. The reversal of 82971905 is 50917928.

It is not a de Polignac number, because 82971905 - 2¹² = 82967809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82971907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45644 + ... + 47426.

It is an arithmetic number, because the mean of its divisors is an integer number (6406344).

Almost surely, 2^82971905 is an apocalyptic number.

It is an amenable number.

82971905 is a deficient number, since it is larger than the sum of its proper divisors (19529599).

82971905 is a wasteful number, since it uses less digits than its factorization.

82971905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 82971905 is about 9108.8915351979. The cubic root of 82971905 is about 436.1578437696.

The spelling of 82971905 in words is "eighty-two million, nine hundred seventy-one thousand, nine hundred five".