82150409 has 12 divisors (see below), whose sum is σ = 95611572. Its totient is φ = 70287360.

The previous prime is 82150399. The next prime is 82150421. The reversal of 82150409 is 90405128.

82150409 = 1083² + 1084² + ... + 1148².

It can be written as a sum of positive squares in 2 ways, for example, as 67158025 + 14992384 = 8195^2 + 3872^2 .

It is not a de Polignac number, because 82150409 - 2¹² = 82146313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82150459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17912 + ... + 22025.

It is an arithmetic number, because the mean of its divisors is an integer number (7967631).

Almost surely, 2^82150409 is an apocalyptic number.

It is an amenable number.

82150409 is a deficient number, since it is larger than the sum of its proper divisors (13461163).

82150409 is a wasteful number, since it uses less digits than its factorization.

82150409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39976 (or 39965 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 82150409 is about 9063.6862809786. The cubic root of 82150409 is about 434.7136160530.

The spelling of 82150409 in words is "eighty-two million, one hundred fifty thousand, four hundred nine".