1961825 has 12 divisors (see below), whose sum is σ = 2460780. Its totient is φ = 1551360.

The previous prime is 1961819. The next prime is 1961833. The reversal of 1961825 is 5281691.

It can be written as a sum of positive squares in 6 ways, for example, as 4624 + 1957201 = 68^2 + 1399^2 .

It is not a de Polignac number, because 1961825 - 2¹² = 1957729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1961791 and 1961800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2021 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

2^1961825 is an apocalyptic number.

1961825 is the 809-th octagonal number.

It is an amenable number.

1961825 is a deficient number, since it is larger than the sum of its proper divisors (498955).

1961825 is an equidigital number, since it uses as much as digits as its factorization.

1961825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its digits is 4320, while the sum is 32.

The square root of 1961825 is about 1400.6516340618. The cubic root of 1961825 is about 125.1853251011.

The spelling of 1961825 in words is "one million, nine hundred sixty-one thousand, eight hundred twenty-five".