82929001 has 8 divisors (see below), whose sum is σ = 83540808. Its totient is φ = 82320000.

The previous prime is 82928987. The next prime is 82929013. The reversal of 82929001 is 10092928.

It can be written as a sum of positive squares in 4 ways, for example, as 8555625 + 74373376 = 2925^2 + 8624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(82929001) divides (82929001-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 82929001 - 2⁵ = 82928969 is a prime.

It is a deceptive number, since it divides R_82929000.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82929401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117951 + ... + 118651.

It is an arithmetic number, because the mean of its divisors is an integer number (10442601).

It is a Poulet number, since it divides 2^82929000-1.

Almost surely, 2^82929001 is an apocalyptic number.

It is an amenable number.

82929001 is a deficient number, since it is larger than the sum of its proper divisors (611807).

82929001 is a wasteful number, since it uses less digits than its factorization.

82929001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 82929001 is about 9106.5361691480. The cubic root of 82929001 is about 436.0826530872.

The spelling of 82929001 in words is "eighty-two million, nine hundred twenty-nine thousand, one".