87949561 has 12 divisors (see below), whose sum is σ = 102772368. Its totient is φ = 75043752.

The previous prime is 87949559. The next prime is 87949571. The reversal of 87949561 is 16594978.

It is not a de Polignac number, because 87949561 - 2¹ = 87949559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87949501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7170 + ... + 15076.

It is an arithmetic number, because the mean of its divisors is an integer number (8564364).

Almost surely, 2^87949561 is an apocalyptic number.

It is an amenable number.

87949561 is a deficient number, since it is larger than the sum of its proper divisors (14822807).

87949561 is a wasteful number, since it uses less digits than its factorization.

87949561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8141 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The square root of 87949561 is about 9378.1427265744. The cubic root of 87949561 is about 444.7110205605.

The spelling of 87949561 in words is "eighty-seven million, nine hundred forty-nine thousand, five hundred sixty-one".