472361 has 6 divisors (see below), whose sum is σ = 485886. Its totient is φ = 459200.

The previous prime is 472349. The next prime is 472369. The reversal of 472361 is 163274.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 469225 = 56^2 + 685^2 .

It is not a de Polignac number, because 472361 - 2¹⁴ = 455977 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472369) 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, 1541 + ... + 1821.

It is an arithmetic number, because the mean of its divisors is an integer number (80981).

2⁴⁷²³⁶¹ is an apocalyptic number.

472361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

472361 is a deficient number, since it is larger than the sum of its proper divisors (13525).

472361 is an equidigital number, since it uses as much as digits as its factorization.

472361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 322 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 472361 is about 687.2852391838. The cubic root of 472361 is about 77.8797731419.

It can be divided in two parts, 4 and 72361, that multiplied together give a square (289444 = 538²).

The spelling of 472361 in words is "four hundred seventy-two thousand, three hundred sixty-one".