30771972 has 144 divisors (see below), whose sum is σ = 102840192. Its totient is φ = 7511040.

The previous prime is 30771943. The next prime is 30771997. The reversal of 30771972 is 27917703.

It is a super-3 number, since 3×30771972³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46798 + ... + 47450.

It is an arithmetic number, because the mean of its divisors is an integer number (714168).

Almost surely, 2^30771972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30771972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51420096).

30771972 is an abundant number, since it is smaller than the sum of its proper divisors (72068220).

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

30771972 is a wasteful number, since it uses less digits than its factorization.

30771972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 30771972 is about 5547.2490479516. The cubic root of 30771972 is about 313.3659294091.

The spelling of 30771972 in words is "thirty million, seven hundred seventy-one thousand, nine hundred seventy-two".