965201000 has 32 divisors (see below), whose sum is σ = 2258572680. Its totient is φ = 386080000.

The previous prime is 965200979. The next prime is 965201009. The reversal of 965201000 is 102569.

965201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 139098436 + 826102564 = 11794^2 + 28742^2 .

It is a super-2 number, since 2×965201000² = 1863225940802000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (965201009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481601 + ... + 483600.

Almost surely, 2^965201000 is an apocalyptic number.

It is an amenable number.

965201000 is an abundant number, since it is smaller than the sum of its proper divisors (1293371680).

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

965201000 is a wasteful number, since it uses less digits than its factorization.

965201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965222 (or 965208 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 965201000 is about 31067.6841750395. The cubic root of 965201000 is about 988.2631178669.

Adding to 965201000 its reverse (102569), we get a palindrome (965303569).

The spelling of 965201000 in words is "nine hundred sixty-five million, two hundred one thousand".