71541 has 6 divisors (see below), whose sum is σ = 103350. Its totient is φ = 47688.

The previous prime is 71537. The next prime is 71549. The reversal of 71541 is 14517.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 11025 = 246^2 + 105^2 .

It is not a de Polignac number, because 71541 - 2² = 71537 is a prime.

It is a super-2 number, since 2×71541² = 10236229362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71549) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3966 + ... + 3983.

It is an arithmetic number, because the mean of its divisors is an integer number (17225).

2⁷¹⁵⁴¹ is an apocalyptic number.

It is an amenable number.

71541 is a deficient number, since it is larger than the sum of its proper divisors (31809).

71541 is a wasteful number, since it uses less digits than its factorization.

71541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7955 (or 7952 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 71541 is about 267.4714938082. The cubic root of 71541 is about 41.5130843728.

The spelling of 71541 in words is "seventy-one thousand, five hundred forty-one".