1900965 has 32 divisors (see below), whose sum is σ = 3411072. Its totient is φ = 896000.

The previous prime is 1900937. The next prime is 1900981. The reversal of 1900965 is 5690091.

1900965 = 195² + 196² + ... + 235².

It is not a de Polignac number, because 1900965 - 2⁸ = 1900709 is a prime.

It is a super-2 number, since 2×1900965² = 7227335862450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6625 + ... + 6905.

It is an arithmetic number, because the mean of its divisors is an integer number (106596).

2^1900965 is an apocalyptic number.

1900965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1900965 is a deficient number, since it is larger than the sum of its proper divisors (1510107).

1900965 is a wasteful number, since it uses less digits than its factorization.

1900965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 1900965 is about 1378.7548730648. The cubic root of 1900965 is about 123.8771980570.

The spelling of 1900965 in words is "one million, nine hundred thousand, nine hundred sixty-five".