11177985 has 64 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 4458240.

The previous prime is 11177951. The next prime is 11177987. The reversal of 11177985 is 58977111.

It is not a de Polignac number, because 11177985 - 2⁶ = 11177921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11177987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25720 + ... + 26150.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

It is a Proth number, since it is equal to 2729 ⋅ 2¹² + 1 and 2729 < 2¹².

Almost surely, 2^11177985 is an apocalyptic number.

11177985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11177985 is the 2730-th pentagonal number.

It is an amenable number.

11177985 is an abundant number, since it is smaller than the sum of its proper divisors (12046335).

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

11177985 is a wasteful number, since it uses less digits than its factorization.

11177985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its digits is 17640, while the sum is 39.

The square root of 11177985 is about 3343.3493685225. The cubic root of 11177985 is about 223.5910973976.

The spelling of 11177985 in words is "eleven million, one hundred seventy-seven thousand, nine hundred eighty-five".