12582141 has 32 divisors (see below), whose sum is σ = 19944960. Its totient is φ = 6955200.

The previous prime is 12582103. The next prime is 12582149. The reversal of 12582141 is 14128521.

It is not a de Polignac number, because 12582141 - 2⁶ = 12582077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582149) 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, 59526 + ... + 59736.

It is an arithmetic number, because the mean of its divisors is an integer number (623280).

Almost surely, 2^12582141 is an apocalyptic number.

12582141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12582141 is a deficient number, since it is larger than the sum of its proper divisors (7362819).

12582141 is a wasteful number, since it uses less digits than its factorization.

12582141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377.

The product of its digits is 640, while the sum is 24.

The square root of 12582141 is about 3547.1313761968. The cubic root of 12582141 is about 232.5866852159.

The spelling of 12582141 in words is "twelve million, five hundred eighty-two thousand, one hundred forty-one".