1921964 has 36 divisors (see below), whose sum is σ = 3904488. Its totient is φ = 827640.

The previous prime is 1921937. The next prime is 1921967. The reversal of 1921964 is 4691291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a self number, because there is not a number n which added to its sum of digits gives 1921964.

It is not an unprimeable number, because it can be changed into a prime (1921967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101147 + ... + 101165.

It is an arithmetic number, because the mean of its divisors is an integer number (108458).

2^1921964 is an apocalyptic number.

It is an amenable number.

1921964 is an abundant number, since it is smaller than the sum of its proper divisors (1982524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1921964 is a wasteful number, since it uses less digits than its factorization.

1921964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 32 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 1921964 is about 1386.3491623686. The cubic root of 1921964 is about 124.3316649951.

It can be divided in two parts, 19 and 21964, that multiplied together give a square (417316 = 646²).

The spelling of 1921964 in words is "one million, nine hundred twenty-one thousand, nine hundred sixty-four".