1961585 has 8 divisors (see below), whose sum is σ = 2370600. Its totient is φ = 1558144.

The previous prime is 1961581. The next prime is 1961593. The reversal of 1961585 is 5851691.

It can be written as a sum of positive squares in 4 ways, for example, as 12769 + 1948816 = 113^2 + 1396^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1961585 - 2² = 1961581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1961581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572 + ... + 2061.

It is an arithmetic number, because the mean of its divisors is an integer number (296325).

2^1961585 is an apocalyptic number.

It is an amenable number.

1961585 is a deficient number, since it is larger than the sum of its proper divisors (409015).

1961585 is a wasteful number, since it uses less digits than its factorization.

1961585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787.

The product of its digits is 10800, while the sum is 35.

The square root of 1961585 is about 1400.5659570331. The cubic root of 1961585 is about 125.1802200410.

The spelling of 1961585 in words is "one million, nine hundred sixty-one thousand, five hundred eighty-five".