472761 has 6 divisors (see below), whose sum is σ = 682890. Its totient is φ = 315168.

The previous prime is 472751. The next prime is 472763. The reversal of 472761 is 167274.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 197136 = 525^2 + 444^2 .

It is not a de Polignac number, because 472761 - 2⁶ = 472697 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (472763) 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, 26256 + ... + 26273.

It is an arithmetic number, because the mean of its divisors is an integer number (113815).

2⁴⁷²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

472761 is a deficient number, since it is larger than the sum of its proper divisors (210129).

472761 is a wasteful number, since it uses less digits than its factorization.

472761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52535 (or 52532 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 472761 is about 687.5761775978. The cubic root of 472761 is about 77.9017500622.

The spelling of 472761 in words is "four hundred seventy-two thousand, seven hundred sixty-one".