1997961 has 16 divisors (see below), whose sum is σ = 3081600. Its totient is φ = 1127808.

The previous prime is 1997939. The next prime is 1997969. The reversal of 1997961 is 1697991.

It is not a de Polignac number, because 1997961 - 2⁷ = 1997833 is a prime.

It is a Curzon number.

1997961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1997969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 2403.

It is an arithmetic number, because the mean of its divisors is an integer number (192600).

2^1997961 is an apocalyptic number.

It is an amenable number.

1997961 is a deficient number, since it is larger than the sum of its proper divisors (1083639).

1997961 is a wasteful number, since it uses less digits than its factorization.

1997961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168.

The product of its digits is 30618, while the sum is 42.

The square root of 1997961 is about 1413.4924831777. The cubic root of 1997961 is about 125.9492741138.

The spelling of 1997961 in words is "one million, nine hundred ninety-seven thousand, nine hundred sixty-one".