1961583 has 24 divisors (see below), whose sum is σ = 2925072. Its totient is φ = 1168128.

The previous prime is 1961581. The next prime is 1961593. The reversal of 1961583 is 3851691.

1961583 = 67² + 68² + ... + 183².

It is not a de Polignac number, because 1961583 - 2¹ = 1961581 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 26835 + ... + 26907.

It is an arithmetic number, because the mean of its divisors is an integer number (121878).

2^1961583 is an apocalyptic number.

1961583 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1961583 is a deficient number, since it is larger than the sum of its proper divisors (963489).

1961583 is a wasteful number, since it uses less digits than its factorization.

1961583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 1961583 is about 1400.5652430358. The cubic root of 1961583 is about 125.1801774971.

The spelling of 1961583 in words is "one million, nine hundred sixty-one thousand, five hundred eighty-three".