1971129407 has 32 divisors (see below), whose sum is σ = 2328480000. Its totient is φ = 1652693760.

The previous prime is 1971129397. The next prime is 1971129409. The reversal of 1971129407 is 7049211791.

It is a cyclic number.

It is not a de Polignac number, because 1971129407 - 2⁶ = 1971129343 is a prime.

It is a super-2 number, since 2×1971129407² = 7770702278280343298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971129409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595844 + ... + 599142.

It is an arithmetic number, because the mean of its divisors is an integer number (72765000).

Almost surely, 2^1971129407 is an apocalyptic number.

1971129407 is a deficient number, since it is larger than the sum of its proper divisors (357350593).

1971129407 is a wasteful number, since it uses less digits than its factorization.

1971129407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431.

The product of its (nonzero) digits is 31752, while the sum is 41.

The square root of 1971129407 is about 44397.4031560406. The cubic root of 1971129407 is about 1253.8291979763.

The spelling of 1971129407 in words is "one billion, nine hundred seventy-one million, one hundred twenty-nine thousand, four hundred seven".