901825 has 6 divisors (see below), whose sum is σ = 1118294. Its totient is φ = 721440.

The previous prime is 901819. The next prime is 901841. The reversal of 901825 is 528109.

901825 = 671² + 672².

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 693889 = 456^2 + 833^2 .

It is not a de Polignac number, because 901825 - 2¹⁹ = 377537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 36073 = 901825 / (9 + 0 + 1 + 8 + 2 + 5).

It is a Duffinian number.

901825 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 901825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18012 + ... + 18061.

2⁹⁰¹⁸²⁵ is an apocalyptic number.

901825 is the 672-nd centered square number.

It is an amenable number.

901825 is a deficient number, since it is larger than the sum of its proper divisors (216469).

901825 is a wasteful number, since it uses less digits than its factorization.

901825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36083 (or 36078 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 901825 is about 949.6446703899. The cubic root of 901825 is about 96.6141543299.

The spelling of 901825 in words is "nine hundred one thousand, eight hundred twenty-five".