87461541 has 24 divisors (see below), whose sum is σ = 135252000. Its totient is φ = 54296352.

The previous prime is 87461533. The next prime is 87461557. The reversal of 87461541 is 14516478.

It is a happy number.

It is not a de Polignac number, because 87461541 - 2³ = 87461533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87461496 and 87461505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87461581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5755 + ... + 14423.

It is an arithmetic number, because the mean of its divisors is an integer number (5635500).

Almost surely, 2^87461541 is an apocalyptic number.

It is an amenable number.

87461541 is a deficient number, since it is larger than the sum of its proper divisors (47790459).

87461541 is a wasteful number, since it uses less digits than its factorization.

87461541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8753 (or 8750 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 87461541 is about 9352.0875209763. The cubic root of 87461541 is about 443.8869477203.

The spelling of 87461541 in words is "eighty-seven million, four hundred sixty-one thousand, five hundred forty-one".