1971940 has 12 divisors (see below), whose sum is σ = 4141116. Its totient is φ = 788768.

The previous prime is 1971911. The next prime is 1971967. The reversal of 1971940 is 491791.

It can be written as a sum of positive squares in 2 ways, for example, as 1572516 + 399424 = 1254^2 + 632^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49279 + ... + 49318.

It is an arithmetic number, because the mean of its divisors is an integer number (345093).

2^1971940 is an apocalyptic number.

1971940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1971940 is an abundant number, since it is smaller than the sum of its proper divisors (2169176).

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

1971940 is a wasteful number, since it uses less digits than its factorization.

1971940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98606 (or 98604 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 1971940 is about 1404.2578110874. The cubic root of 1971940 is about 125.4001046305.

The spelling of 1971940 in words is "one million, nine hundred seventy-one thousand, nine hundred forty".