82787337 has 12 divisors (see below), whose sum is σ = 119928900. Its totient is φ = 55031328.

The previous prime is 82787333. The next prime is 82787371. The reversal of 82787337 is 73378728.

It can be written as a sum of positive squares in 2 ways, for example, as 46498761 + 36288576 = 6819^2 + 6024^2 .

It is not a de Polignac number, because 82787337 - 2² = 82787333 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82787292 and 82787301.

It is not an unprimeable number, because it can be changed into a prime (82787333) 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, 10038 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (9994075).

Almost surely, 2^82787337 is an apocalyptic number.

It is an amenable number.

82787337 is a deficient number, since it is larger than the sum of its proper divisors (37141563).

82787337 is a wasteful number, since it uses less digits than its factorization.

82787337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26712 (or 26709 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 82787337 is about 9098.7546950118. The cubic root of 82787337 is about 435.8341978916.

The spelling of 82787337 in words is "eighty-two million, seven hundred eighty-seven thousand, three hundred thirty-seven".