82391929 has 9 divisors (see below), whose sum is σ = 85604493. Its totient is φ = 79296672.

The previous prime is 82391917. The next prime is 82391941. The reversal of 82391929 is 92919328.

The square root of 82391929 is 9077.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (82391917) and next prime (82391941).

It can be written as a sum of positive squares in 4 ways, for example, as 32661225 + 49730704 = 5715^2 + 7052^2 .

It is not a de Polignac number, because 82391929 - 2⁷ = 82391801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82391909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 263077 + ... + 263389.

Almost surely, 2^82391929 is an apocalyptic number.

82391929 is the 9077-th square number.

82391929 is the 4539-th centered octagonal number.

It is an amenable number.

82391929 is a deficient number, since it is larger than the sum of its proper divisors (3212564).

82391929 is an frugal number, since it uses more digits than its factorization.

82391929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its digits is 69984, while the sum is 43.

The cubic root of 82391929 is about 435.1392147011.

The spelling of 82391929 in words is "eighty-two million, three hundred ninety-one thousand, nine hundred twenty-nine".