2137971 has 32 divisors (see below), whose sum is σ = 3414528. Its totient is φ = 1175040.

The previous prime is 2137969. The next prime is 2137973. The reversal of 2137971 is 1797312.

2137971 = T₄₉₃ + T₄₉₄ + ... + T₅₀₉.

It is an interprime number because it is at equal distance from previous prime (2137969) and next prime (2137973).

It is not a de Polignac number, because 2137971 - 2¹ = 2137969 is a prime.

2137971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2137973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20706 + ... + 20808.

It is an arithmetic number, because the mean of its divisors is an integer number (106704).

2^2137971 is an apocalyptic number.

2137971 is a deficient number, since it is larger than the sum of its proper divisors (1276557).

2137971 is a wasteful number, since it uses less digits than its factorization.

2137971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171.

The product of its digits is 2646, while the sum is 30.

The square root of 2137971 is about 1462.1802214501. The cubic root of 2137971 is about 128.8251341393.

The spelling of 2137971 in words is "two million, one hundred thirty-seven thousand, nine hundred seventy-one".