87261801 has 16 divisors (see below), whose sum is σ = 128459520. Its totient is φ = 52247120.

The previous prime is 87261787. The next prime is 87261821. The reversal of 87261801 is 10816278.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 87261801 - 2⁷ = 87261673 is a prime.

It is a super-2 number, since 2×87261801² = 15229243827527202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87261821) 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, 13191 + ... + 18668.

It is an arithmetic number, because the mean of its divisors is an integer number (8028720).

Almost surely, 2^87261801 is an apocalyptic number.

It is an amenable number.

87261801 is a deficient number, since it is larger than the sum of its proper divisors (41197719).

87261801 is a wasteful number, since it uses less digits than its factorization.

87261801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31956.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 87261801 is about 9341.4025178235. The cubic root of 87261801 is about 443.5487817199.

The spelling of 87261801 in words is "eighty-seven million, two hundred sixty-one thousand, eight hundred one".