900601 has 9 divisors (see below), whose sum is σ = 988749. Its totient is φ = 819936.

The previous prime is 900593. The next prime is 900607. The reversal of 900601 is 106009.

The square root of 900601 is 949.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 90601 + 810000 = 301^2 + 900^2 .

It is not a de Polignac number, because 900601 - 2³ = 900593 is a prime.

It is a super-2 number, since 2×900601² = 1622164322402, which contains 22 as substring.

It is a Duffinian number.

900601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (900607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12301 + ... + 12373.

It is an arithmetic number, because the mean of its divisors is an integer number (109861).

2⁹⁰⁰⁶⁰¹ is an apocalyptic number.

900601 is the 949-th square number.

900601 is the 475-th centered octagonal number.

It is an amenable number.

900601 is a deficient number, since it is larger than the sum of its proper divisors (88148).

900601 is an equidigital number, since it uses as much as digits as its factorization.

900601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 900601 is about 96.5704247571.

Multiplying 900601 by its sum of digits (16), we get a square (14409616 = 3796²).

The spelling of 900601 in words is "nine hundred thousand, six hundred one".