1587971 has 16 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 1204800.

The previous prime is 1587961. The next prime is 1587973. The reversal of 1587971 is 1797851.

It is a cyclic number.

It is not a de Polignac number, because 1587971 - 2¹⁴ = 1571587 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587973) 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, 2906 + ... + 3408.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

2^1587971 is an apocalyptic number.

1587971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1587971 is a deficient number, since it is larger than the sum of its proper divisors (444157).

1587971 is a wasteful number, since it uses less digits than its factorization.

1587971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its digits is 17640, while the sum is 38.

The square root of 1587971 is about 1260.1472136223. The cubic root of 1587971 is about 116.6668634917. Note that the first 3 decimals are identical.

The spelling of 1587971 in words is "one million, five hundred eighty-seven thousand, nine hundred seventy-one".