8102772 has 18 divisors (see below), whose sum is σ = 20482098. Its totient is φ = 2700912.

The previous prime is 8102747. The next prime is 8102777. The reversal of 8102772 is 2772018.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 285156 = 2796^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×8102772³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102777) 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, 112503 + ... + 112574.

Almost surely, 2^8102772 is an apocalyptic number.

It is an amenable number.

8102772 is an abundant number, since it is smaller than the sum of its proper divisors (12379326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8102772 is a wasteful number, since it uses less digits than its factorization.

8102772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225087 (or 225082 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 8102772 is about 2846.5368432536. The cubic root of 8102772 is about 200.8527918950.

The spelling of 8102772 in words is "eight million, one hundred two thousand, seven hundred seventy-two".