131667601 has 16 divisors (see below), whose sum is σ = 150840144. Its totient is φ = 113854464.

The previous prime is 131667589. The next prime is 131667607. The reversal of 131667601 is 106766131.

It can be written as a sum of positive squares in 8 ways, for example, as 7568001 + 124099600 = 2751^2 + 11140^2 .

It is a cyclic number.

It is not a de Polignac number, because 131667601 - 2¹⁷ = 131536529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131667607) 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, 50215 + ... + 52771.

It is an arithmetic number, because the mean of its divisors is an integer number (9427509).

Almost surely, 2^131667601 is an apocalyptic number.

It is an amenable number.

131667601 is a deficient number, since it is larger than the sum of its proper divisors (19172543).

131667601 is a wasteful number, since it uses less digits than its factorization.

131667601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 131667601 is about 11474.6503650438. The cubic root of 131667601 is about 508.7365895444.

The spelling of 131667601 in words is "one hundred thirty-one million, six hundred sixty-seven thousand, six hundred one".