617872 has 30 divisors (see below), whose sum is σ = 1268582. Its totient is φ = 291456.

The previous prime is 617857. The next prime is 617873. The reversal of 617872 is 278716.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 541696 + 76176 = 736^2 + 276^2 .

It is an Ulam number.

Its product of digits (4704) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (617873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8428 + ... + 8500.

2⁶¹⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634291).

617872 is an abundant number, since it is smaller than the sum of its proper divisors (650710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

617872 is a wasteful number, since it uses less digits than its factorization.

617872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 617872 is about 786.0483445692. The cubic root of 617872 is about 85.1725215743.

The spelling of 617872 in words is "six hundred seventeen thousand, eight hundred seventy-two".