953361 has 6 divisors (see below), whose sum is σ = 1377090. Its totient is φ = 635568.

The previous prime is 953347. The next prime is 953399. The reversal of 953361 is 163359.

It can be written as a sum of positive squares in only one way, i.e., 938961 + 14400 = 969^2 + 120^2 .

It is not a de Polignac number, because 953361 - 2⁶ = 953297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (953321) 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, 52956 + ... + 52973.

It is an arithmetic number, because the mean of its divisors is an integer number (229515).

2⁹⁵³³⁶¹ is an apocalyptic number.

It is an amenable number.

953361 is a deficient number, since it is larger than the sum of its proper divisors (423729).

953361 is a wasteful number, since it uses less digits than its factorization.

953361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105935 (or 105932 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 953361 is about 976.4020688221. The cubic root of 953361 is about 98.4205514282.

It can be divided in two parts, 9 and 53361, that multiplied together give a square (480249 = 693²).

The spelling of 953361 in words is "nine hundred fifty-three thousand, three hundred sixty-one".